In this paper we consider a holographic QCD model which is proposed in [1]}, [2]} intending to mimic the equation of state of the real QCD. As we know, QCD is strongly coupled at low energy and hence it is difficult to study it using perturbation techniques. Surprisingly, the gauge/gravity duality is extended to the more general cases such as the non-conformal field theory and hence one can study the QCD in the strongly coupled region by studying its dual gravitational theory [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}. It is interesting to seek the holographic models which are dual to non-conformal field theories, such as QCD. One class of these models are top-down models which are directly constructed from string theory. One can find some examples of these models in [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}. Another class of these models are bottom-up models such as the hard-wall model and the soft-wall model in which the gravitational theory are phenomenologically fixed to be in agreement with the lattice QCD data [18]}, [19]}, [20]}. Our considered holographic QCD model contains a dilaton field whose self-interaction potential is parameterized by some constants, and by choosing appropriate values for them the system possesses a crossover phase transition at a critical temperature and it is clearly seen that the thermodynamical properties obtained from this model are in complete agreement with the lattice QCD results [21]}. Moreover, by choosing other suitable values for the parameters in the dilaton potential, this model can also exhibit the first and second order phase transitions. Therefore this is a good model to study various phase structures of strongly coupled field systems. This model utilized for studying the phase structure of a system using the hydrodynamic transport coefficients [22]}, quasinormal modes [23]}, entanglement entropy [24]} and complexity [25]}.
